On the geometrical interpretation of locality in anomaly cancellation

Abstract

A notion of local section of the determinant line bundle is defined giving necessary and suficient conditions for anomaly cancellation compatible with locality. This definition gives an intrinsic geometrical interpretation of the local counterterms allowed in the renormalization program of quantum field theory. For global anomalies the conditions for anomaly cancellation are expressed in terms of the equivariant holonomy of the Bismut-Freed connection.

References in corpus (7)

• Fermion Path Integrals And Topological Phases
• Equivariant characteristic classes in the bundle of connections
• Local Anomalies, Local Equivariant Cohomology and the Variational Bicomplex
• Equivariant prequantization bundles on the space of connections and characteristic classes
• Pontryagin forms on $(4k-2)$-manifolds and symplectic structures on the spaces of Riemannian metrics
• Cohomology and Topological Anomalies
• Locality and universality in gravitational anomaly cancellation

Cited by in corpus (5)

• Bundle geometry of the connection space, covariant Hamiltonian formalism, the problem of boundaries in gauge theories, and the dressing field method
• Twisted Gauge Fields
• Equivariant holonomy of U(1)-bundles
• Equivariant prequantization and the moment map
• Equivariant differential characters and Chern-Simons bundles